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Finding the Fourth Proportional to 16,038.96, 22,132.80 and 8,964.24

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Solution

The fourth proportional to 16,038.96, 22,132.80 and 8,964.24 is: 12,370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038.96 : 22,132.80 = 8,964.24 : x
  2. Step 2: Convert to fraction form
    16,038.96/22,132.80 = 8,964.24/x
  3. Step 3: Cross multiply
    16,038.96x = 22,132.80 × 8,964.24
  4. Step 4: Simplify right side
    16,038.96x = 198,403,731.07
  5. Step 5: Solve for x
    x = 198,403,731.07/16,038.96
  6. Step 6: Final answer
    x = 12,370.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.